Geodesic
Asymptotic method in the theory of the passage of fast charged particles through matter
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 2, pp. 254-265 Cet article a éte moissonné depuis la source Math-Net.Ru

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The multiple elastic Coulomb scattering of fast charged particles (electrons) by a grand canonical ensemble of atoms is considered. The basic scalar equation for the wave function of the particles in the matter simplifies in the approximation of small scattering angles. The screened Coulomb potential is regularized at short distances. By means of rigorous estimates of the spatial scale of the clusters of atoms and the mean free path of the particles in the matter, asymptotic conditions are formulated for the applicability of a kinetic equation of Pauli type for the particle distribution function with collision integral linear with respect to the cluster functions of the atoms of all orders. 
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Yu. N. Barabanenkov. Asymptotic method in the theory of the passage of fast charged particles through matter. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 2, pp. 254-265. http://geodesic.mathdoc.fr/item/TMF_1981_47_2_a10/

[1] Ryazanov M. I., “Tormoznoe izluchenie i obrazovanie par pri sverkhvysokikh energiyakh v kondensirovannom amorfnom veschestve”, UFN, 114:5 (1974), 393–414 | DOI

[2] Barabanenkov Yu. N., “Primenenie metoda plavnykh vozmuschenii k resheniyu obschikh uravnenii teorii mnogokratnogo rasseyaniya voln”, ZhETF, 54:6 (1968), 1775–1784

[3] Ziman J. M., “A Theory of Electrical Properties of Liquid Metals. I: The Monovalent Metals”, Phil. Mag., 6:68 (1961), 1013–1034 | DOI | Zbl

[4] Kalashnikov N. P., Ryazanov M. I., “Kvantovaya teoriya rasseyaniya chastits v veschestve bez ispolzovaniya kineticheskogo uravneniya”, ZhETF, 47:3 (1964), 1055–1064 | MR

[5] Rytov S. M., Kravtsov Yu. A., Tatarskii V. I., Vvedenie v statisticheskuyu radiofiziku, Chast 2. Sluchainye polya, Nauka, M., 1978

[6] Barabanenkov Yu. N., “O reshenii stokhasticheskogo uravneniya Liuvillya dlya chastitsy v pole izmenyayuschikhsya rasseivatelei”, TMF, 29:2 (1976), 244–254 | MR

[7] Barabanenkov Yu. N., Ozrin V. D., “Osnovnoe kineticheskoe uravnenie dlya chastitsy v pole sluchaino izmenyayuschikhsya rasseivatelei”, TMF, 36:2 (1978), 240–251

[8] Ryuel D., Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 1971

[9] Schiff L. J., “Approximation Method for High-Energy Potential Scattering”, Phys. Rev., 103:2 (1956), 443–453 | DOI | MR | Zbl

[10] Bogolyubov N. N., Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M.–L., 1946 | MR

[11] Barabanenkov Yu. N., “Zadacha Koshi dlya stokhasticheskogo uravneniya Liuvillya so sluchaino-peremennym gamiltonianom vozmuschenii v vide ogranichennogo operatora”, TMF, 42:1 (1980), 101–111 | MR | Zbl

[12] Balesku R., Ravnovesnaya i neravnovesnaya statisticheskaya mekhanika, T. 1, Mir, M., 1978 | MR